A town's population grew from 1,75,000 to 2,62,500 over a decade. What is the average annual percentage increase:________?
Show answer Hide answer
Answer: B. 5%
Explanation
The population increase of eighty seven thousand five hundred over the base represents a fifty percent total growth. Dividing the total fifty percent growth over the ten year duration yields an average of five percent annually. Simple percentage averaging correctly attributes five percent growth per year for the decade. Percentage increase measures the relative change between an initial value and a final value. Decade spans consist of exactly ten calendar years for longitudinal statistical calculations. Average annual growth divides the total percentage increase by the number of intervening years.
Demographers analyze long term census data to track municipal growth rates and resource demands. Economists calculate average annual GDP growth to evaluate national economic performance over time. City planners project future infrastructure requirements based on historical population expansion metrics. Option a represents a miscalculated rate derived from incorrect decimal placement during division. Option c assumes a compounding growth formula rather than the simple annual average requested. Option d doubles the correct annual growth rate due to a faulty time span division.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. A town grows at 4% annually but loses (1/2)% to emigration each year. What is the percentage growth over three years?
Show answer Hide answer
Answer: D. 10.8
Calculating net annual growth requires subtracting the emigration loss percentage from the town growth rate. Subtracting zero point five percent from four percent yields a net annual growth rate of three point five perce...
Q2. The product of the areas of three adjacent faces of a rectangular box equals___________?
Show answer Hide answer
Answer: C. the square of the volume of the box
Letting length, breadth, and height be l, b, and h gives adjacent face areas as lb, bh, and hl. Multiplying these three adjacent face areas together yields the combined product lb squared times bh squared times hl square...
Q3. What is the smallest number to add to 2497 so the sum is completely divisible by 5, 6, 4, and 3:
Show answer Hide answer
Answer: C. 23
The least common multiple of five, six, four, and three is calculated to be exactly sixty. Dividing two thousand four hundred ninety-seven by sixty leaves an arithmetic remainder of thirty-seven. Subtracting thirty-seven...
Q4. Two numbers have a product of 4107 and an H.C.F of 37. What is the larger number_________?
Show answer Hide answer
Answer: C. 111
Expressing the numbers as multiples of their highest common factor establishes a clear algebraic product relationship. Dividing the total product by the square of the HCF yields the product of the two remaining coprime f...
Q5. Two numbers have a product of 2028 and an H.C.F of 13. How many such pairs exist__________?
Show answer Hide answer
Answer: B. 2
Expressing numbers as thirteen x and thirteen y where x and y are coprime yields a product of one sixty nine xy. Dividing two thousand twenty eight by one sixty nine gives the product of coprime variables xy equal to twe...
Q6. A and B speak the truth with probabilities 3/5 and 4/7 respectively. What is the likelihood they corroborate the same fact?
Show answer Hide answer
Answer: A. 18/35
Two people corroborate a fact if both speak the truth or if both choose to lie simultaneously. The probability that both individuals speak the truth is calculated as three-fifths multiplied by four-sevenths, equaling twe...